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Award ID contains: 1948820

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  1. ; (, Journal of the American Mathematical Society)
    null (Ed.)
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  2. (, Quantum Topology)
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  3. ; (, International Mathematics Research Notices)
    null (Ed.)
    Abstract We show that the Seifert–Weber dodecahedral space $$\textsf{SW}$$ is a monopole Floer homology $$L$$-space. The proof relies on our approach to study Floer homology using hyperbolic geometry. Although $$\textsf{SW}$$ is significantly larger than previous manifolds studied with this technique, we overcome computational complexity issues inherent to our method by exploiting the many symmetries of $$\textsf{SW}$$. In particular, we prove that small eigenvalues on coexact $$1$$-forms on $$\textsf{SW}$$ have large multiplicity. 
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  4. (, Selecta Mathematica)
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  5. (, Annales Henri Lebesgue)
    null (Ed.)
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  6. ; (, Contemporary mathematics)
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